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Simplifying 5(2x + -5) = 7(x + -6) + -6 Reorder the terms: 5(-5 + 2x) = 7(x + -6) + -6 (-5 * 5 + 2x * 5) = 7(x + -6) + -6 (-25 + 10x) = 7(x + -6) + -6 Reorder the terms: -25 + 10x = 7(-6 + x) + -6 -25 + 10x = (-6 * 7 + x * 7) + -6 -25 + 10x = (-42 + 7x) + -6 Reorder the terms: -25 + 10x = -42 + -6 + 7x Combine like terms: -42 + -6 = -48 -25 + 10x = -48 + 7x Solving -25 + 10x = -48 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -25 + 10x + -7x = -48 + 7x + -7x Combine like terms: 10x + -7x = 3x -25 + 3x = -48 + 7x + -7x Combine like terms: 7x + -7x = 0 -25 + 3x = -48 + 0 -25 + 3x = -48 Add '25' to each side of the equation. -25 + 25 + 3x = -48 + 25 Combine like terms: -25 + 25 = 0 0 + 3x = -48 + 25 3x = -48 + 25 Combine like terms: -48 + 25 = -23 3x = -23 Divide each side by '3'. x = -7.666666667 Simplifying x = -7.666666667
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